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Simplifying 7x + 1 + -3(x + 1) = 9x + 2 Reorder the terms: 7x + 1 + -3(1 + x) = 9x + 2 7x + 1 + (1 * -3 + x * -3) = 9x + 2 7x + 1 + (-3 + -3x) = 9x + 2 Reorder the terms: 1 + -3 + 7x + -3x = 9x + 2 Combine like terms: 1 + -3 = -2 -2 + 7x + -3x = 9x + 2 Combine like terms: 7x + -3x = 4x -2 + 4x = 9x + 2 Reorder the terms: -2 + 4x = 2 + 9x Solving -2 + 4x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 4x + -9x = 2 + 9x + -9x Combine like terms: 4x + -9x = -5x -2 + -5x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -5x = 2 + 0 -2 + -5x = 2 Add '2' to each side of the equation. -2 + 2 + -5x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 2 + 2 -5x = 2 + 2 Combine like terms: 2 + 2 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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